#include #include #include #include #include char *name = "Toniolo and Linder, Equation (13)"; double f_if(float n, float U, float t, float l, float Om, float U_) { float r22516 = 2; float r22517 = n; float r22518 = r22516 * r22517; float r22519 = U; float r22520 = r22518 * r22519; float r22521 = t; float r22522 = l; float r22523 = r22522 * r22522; float r22524 = Om; float r22525 = r22523 / r22524; float r22526 = r22516 * r22525; float r22527 = r22521 - r22526; float r22528 = r22522 / r22524; float r22529 = pow(r22528, r22516); float r22530 = r22517 * r22529; float r22531 = U_; float r22532 = r22519 - r22531; float r22533 = r22530 * r22532; float r22534 = r22527 - r22533; float r22535 = r22520 * r22534; float r22536 = sqrt(r22535); return r22536; } double f_id(double n, double U, double t, double l, double Om, double U_) { double r22537 = 2; double r22538 = n; double r22539 = r22537 * r22538; double r22540 = U; double r22541 = r22539 * r22540; double r22542 = t; double r22543 = l; double r22544 = r22543 * r22543; double r22545 = Om; double r22546 = r22544 / r22545; double r22547 = r22537 * r22546; double r22548 = r22542 - r22547; double r22549 = r22543 / r22545; double r22550 = pow(r22549, r22537); double r22551 = r22538 * r22550; double r22552 = U_; double r22553 = r22540 - r22552; double r22554 = r22551 * r22553; double r22555 = r22548 - r22554; double r22556 = r22541 * r22555; double r22557 = sqrt(r22556); return r22557; } double f_of(float n, float U, float t, float l, float Om, float U_) { float r22558 = U; float r22559 = n; float r22560 = r22558 * r22559; float r22561 = 2; float r22562 = r22560 * r22561; float r22563 = l; float r22564 = Om; float r22565 = r22563 / r22564; float r22566 = U_; float r22567 = r22566 - r22558; float r22568 = r22565 * r22559; float r22569 = r22567 * r22568; float r22570 = t; float r22571 = r22563 * r22561; float r22572 = r22571 * r22565; float r22573 = r22570 - r22572; float r22574 = fma(r22565, r22569, r22573); float r22575 = r22562 * r22574; float r22576 = 0; float r22577 = r22576 * r22559; float r22578 = r22558 * r22561; float r22579 = r22577 * r22578; float r22580 = r22575 + r22579; float r22581 = 1/2; float r22582 = pow(r22580, r22581); float r22583 = 5.362943541663143e-146; bool r22584 = r22582 <= r22583; float r22585 = r22561 * r22559; float r22586 = r22563 * r22563; float r22587 = r22586 / r22564; float r22588 = r22561 * r22587; float r22589 = r22570 - r22588; float r22590 = pow(r22565, r22561); float r22591 = r22559 * r22590; float r22592 = r22558 - r22566; float r22593 = r22591 * r22592; float r22594 = r22589 - r22593; float r22595 = r22558 * r22594; float r22596 = r22585 * r22595; float r22597 = sqrt(r22596); float r22598 = 3.610442400341209e+151; bool r22599 = r22582 <= r22598; float r22600 = cbrt(r22569); float r22601 = r22600 * r22600; float r22602 = r22601 * r22600; float r22603 = fma(r22565, r22602, r22573); float r22604 = r22562 * r22603; float r22605 = r22604 + r22579; float r22606 = sqrt(r22605); float r22607 = r22585 * r22558; float r22608 = sqrt(r22607); float r22609 = sqrt(r22594); float r22610 = r22608 * r22609; float r22611 = r22599 ? r22606 : r22610; float r22612 = r22584 ? r22597 : r22611; return r22612; } double f_od(double n, double U, double t, double l, double Om, double U_) { double r22613 = U; double r22614 = n; double r22615 = r22613 * r22614; double r22616 = 2; double r22617 = r22615 * r22616; double r22618 = l; double r22619 = Om; double r22620 = r22618 / r22619; double r22621 = U_; double r22622 = r22621 - r22613; double r22623 = r22620 * r22614; double r22624 = r22622 * r22623; double r22625 = t; double r22626 = r22618 * r22616; double r22627 = r22626 * r22620; double r22628 = r22625 - r22627; double r22629 = fma(r22620, r22624, r22628); double r22630 = r22617 * r22629; double r22631 = 0; double r22632 = r22631 * r22614; double r22633 = r22613 * r22616; double r22634 = r22632 * r22633; double r22635 = r22630 + r22634; double r22636 = 1/2; double r22637 = pow(r22635, r22636); double r22638 = 5.362943541663143e-146; bool r22639 = r22637 <= r22638; double r22640 = r22616 * r22614; double r22641 = r22618 * r22618; double r22642 = r22641 / r22619; double r22643 = r22616 * r22642; double r22644 = r22625 - r22643; double r22645 = pow(r22620, r22616); double r22646 = r22614 * r22645; double r22647 = r22613 - r22621; double r22648 = r22646 * r22647; double r22649 = r22644 - r22648; double r22650 = r22613 * r22649; double r22651 = r22640 * r22650; double r22652 = sqrt(r22651); double r22653 = 3.610442400341209e+151; bool r22654 = r22637 <= r22653; double r22655 = cbrt(r22624); double r22656 = r22655 * r22655; double r22657 = r22656 * r22655; double r22658 = fma(r22620, r22657, r22628); double r22659 = r22617 * r22658; double r22660 = r22659 + r22634; double r22661 = sqrt(r22660); double r22662 = r22640 * r22613; double r22663 = sqrt(r22662); double r22664 = sqrt(r22649); double r22665 = r22663 * r22664; double r22666 = r22654 ? r22661 : r22665; double r22667 = r22639 ? r22652 : r22666; return r22667; } void mpfr_fmod2(mpfr_t r, mpfr_t n, mpfr_t d, mpfr_rnd_t rmd) { mpfr_fmod(r, n, d, rmd); if (mpfr_cmp_ui(r, 0) < 0) mpfr_add(r, r, d, rmd); } static mpfr_t r22668, r22669, r22670, r22671, r22672, r22673, r22674, r22675, r22676, r22677, r22678, r22679, r22680, r22681, r22682, r22683, r22684, r22685, r22686, r22687, r22688; void setup_mpfr_f_im() { mpfr_set_default_prec(592); mpfr_init_set_str(r22668, "2", 10, MPFR_RNDN); mpfr_init(r22669); mpfr_init(r22670); mpfr_init(r22671); mpfr_init(r22672); mpfr_init(r22673); mpfr_init(r22674); mpfr_init(r22675); mpfr_init(r22676); mpfr_init(r22677); mpfr_init(r22678); mpfr_init(r22679); mpfr_init(r22680); mpfr_init(r22681); mpfr_init(r22682); mpfr_init(r22683); mpfr_init(r22684); mpfr_init(r22685); mpfr_init(r22686); mpfr_init(r22687); mpfr_init(r22688); } double f_im(double n, double U, double t, double l, double Om, double U_) { ; mpfr_set_d(r22669, n, MPFR_RNDN); mpfr_mul(r22670, r22668, r22669, MPFR_RNDN); mpfr_set_d(r22671, U, MPFR_RNDN); mpfr_mul(r22672, r22670, r22671, MPFR_RNDN); mpfr_set_d(r22673, t, MPFR_RNDN); mpfr_set_d(r22674, l, MPFR_RNDN); mpfr_mul(r22675, r22674, r22674, MPFR_RNDN); mpfr_set_d(r22676, Om, MPFR_RNDN); mpfr_div(r22677, r22675, r22676, MPFR_RNDN); mpfr_mul(r22678, r22668, r22677, MPFR_RNDN); mpfr_sub(r22679, r22673, r22678, MPFR_RNDN); mpfr_div(r22680, r22674, r22676, MPFR_RNDN); mpfr_pow(r22681, r22680, r22668, MPFR_RNDN); mpfr_mul(r22682, r22669, r22681, MPFR_RNDN); mpfr_set_d(r22683, U_, MPFR_RNDN); mpfr_sub(r22684, r22671, r22683, MPFR_RNDN); mpfr_mul(r22685, r22682, r22684, MPFR_RNDN); mpfr_sub(r22686, r22679, r22685, MPFR_RNDN); mpfr_mul(r22687, r22672, r22686, MPFR_RNDN); mpfr_sqrt(r22688, r22687, MPFR_RNDN); return mpfr_get_d(r22688, MPFR_RNDN); } static mpfr_t r22689, r22690, r22691, r22692, r22693, r22694, r22695, r22696, r22697, r22698, r22699, r22700, r22701, r22702, r22703, r22704, r22705, r22706, r22707, r22708, r22709, r22710, r22711, r22712, r22713, r22714, r22715, r22716, r22717, r22718, r22719, r22720, r22721, r22722, r22723, r22724, r22725, r22726, r22727, r22728, r22729, r22730, r22731, r22732, r22733, r22734, r22735, r22736, r22737, r22738, r22739, r22740, r22741, r22742, r22743; void setup_mpfr_f_fm() { mpfr_set_default_prec(592); mpfr_init(r22689); mpfr_init(r22690); mpfr_init(r22691); mpfr_init_set_str(r22692, "2", 10, MPFR_RNDN); mpfr_init(r22693); mpfr_init(r22694); mpfr_init(r22695); mpfr_init(r22696); mpfr_init(r22697); mpfr_init(r22698); mpfr_init(r22699); mpfr_init(r22700); mpfr_init(r22701); mpfr_init(r22702); mpfr_init(r22703); mpfr_init(r22704); mpfr_init(r22705); mpfr_init(r22706); mpfr_init_set_str(r22707, "0", 10, MPFR_RNDN); mpfr_init(r22708); mpfr_init(r22709); mpfr_init(r22710); mpfr_init(r22711); mpfr_init_set_str(r22712, "1/2", 10, MPFR_RNDN); mpfr_init(r22713); mpfr_init_set_str(r22714, "5.362943541663143e-146", 10, MPFR_RNDN); mpfr_init(r22715); mpfr_init(r22716); mpfr_init(r22717); mpfr_init(r22718); mpfr_init(r22719); mpfr_init(r22720); mpfr_init(r22721); mpfr_init(r22722); mpfr_init(r22723); mpfr_init(r22724); mpfr_init(r22725); mpfr_init(r22726); mpfr_init(r22727); mpfr_init(r22728); mpfr_init_set_str(r22729, "3.610442400341209e+151", 10, MPFR_RNDN); mpfr_init(r22730); mpfr_init(r22731); mpfr_init(r22732); mpfr_init(r22733); mpfr_init(r22734); mpfr_init(r22735); mpfr_init(r22736); mpfr_init(r22737); mpfr_init(r22738); mpfr_init(r22739); mpfr_init(r22740); mpfr_init(r22741); mpfr_init(r22742); mpfr_init(r22743); } double f_fm(double n, double U, double t, double l, double Om, double U_) { mpfr_set_d(r22689, U, MPFR_RNDN); mpfr_set_d(r22690, n, MPFR_RNDN); mpfr_mul(r22691, r22689, r22690, MPFR_RNDN); ; mpfr_mul(r22693, r22691, r22692, MPFR_RNDN); mpfr_set_d(r22694, l, MPFR_RNDN); mpfr_set_d(r22695, Om, MPFR_RNDN); mpfr_div(r22696, r22694, r22695, MPFR_RNDN); mpfr_set_d(r22697, U_, MPFR_RNDN); mpfr_sub(r22698, r22697, r22689, MPFR_RNDN); mpfr_mul(r22699, r22696, r22690, MPFR_RNDN); mpfr_mul(r22700, r22698, r22699, MPFR_RNDN); mpfr_set_d(r22701, t, MPFR_RNDN); mpfr_mul(r22702, r22694, r22692, MPFR_RNDN); mpfr_mul(r22703, r22702, r22696, MPFR_RNDN); mpfr_sub(r22704, r22701, r22703, MPFR_RNDN); mpfr_fma(r22705, r22696, r22700, r22704, MPFR_RNDN); mpfr_mul(r22706, r22693, r22705, MPFR_RNDN); ; mpfr_mul(r22708, r22707, r22690, MPFR_RNDN); mpfr_mul(r22709, r22689, r22692, MPFR_RNDN); mpfr_mul(r22710, r22708, r22709, MPFR_RNDN); mpfr_add(r22711, r22706, r22710, MPFR_RNDN); ; mpfr_pow(r22713, r22711, r22712, MPFR_RNDN); ; mpfr_set_si(r22715, mpfr_cmp(r22713, r22714) <= 0, MPFR_RNDN); mpfr_mul(r22716, r22692, r22690, MPFR_RNDN); mpfr_mul(r22717, r22694, r22694, MPFR_RNDN); mpfr_div(r22718, r22717, r22695, MPFR_RNDN); mpfr_mul(r22719, r22692, r22718, MPFR_RNDN); mpfr_sub(r22720, r22701, r22719, MPFR_RNDN); mpfr_pow(r22721, r22696, r22692, MPFR_RNDN); mpfr_mul(r22722, r22690, r22721, MPFR_RNDN); mpfr_sub(r22723, r22689, r22697, MPFR_RNDN); mpfr_mul(r22724, r22722, r22723, MPFR_RNDN); mpfr_sub(r22725, r22720, r22724, MPFR_RNDN); mpfr_mul(r22726, r22689, r22725, MPFR_RNDN); mpfr_mul(r22727, r22716, r22726, MPFR_RNDN); mpfr_sqrt(r22728, r22727, MPFR_RNDN); ; mpfr_set_si(r22730, mpfr_cmp(r22713, r22729) <= 0, MPFR_RNDN); mpfr_cbrt(r22731, r22700, MPFR_RNDN); mpfr_mul(r22732, r22731, r22731, MPFR_RNDN); mpfr_mul(r22733, r22732, r22731, MPFR_RNDN); mpfr_fma(r22734, r22696, r22733, r22704, MPFR_RNDN); mpfr_mul(r22735, r22693, r22734, MPFR_RNDN); mpfr_add(r22736, r22735, r22710, MPFR_RNDN); mpfr_sqrt(r22737, r22736, MPFR_RNDN); mpfr_mul(r22738, r22716, r22689, MPFR_RNDN); mpfr_sqrt(r22739, r22738, MPFR_RNDN); mpfr_sqrt(r22740, r22725, MPFR_RNDN); mpfr_mul(r22741, r22739, r22740, MPFR_RNDN); if (mpfr_get_si(r22730, MPFR_RNDN)) { mpfr_set(r22742, r22737, MPFR_RNDN); } else { mpfr_set(r22742, r22741, MPFR_RNDN); }; if (mpfr_get_si(r22715, MPFR_RNDN)) { mpfr_set(r22743, r22728, MPFR_RNDN); } else { mpfr_set(r22743, r22742, MPFR_RNDN); }; return mpfr_get_d(r22743, MPFR_RNDN); } static mpfr_t r22744, r22745, r22746, r22747, r22748, r22749, r22750, r22751, r22752, r22753, r22754, r22755, r22756, r22757, r22758, r22759, r22760, r22761, r22762, r22763, r22764, r22765, r22766, r22767, r22768, r22769, r22770, r22771, r22772, r22773, r22774, r22775, r22776, r22777, r22778, r22779, r22780, r22781, r22782, r22783, r22784, r22785, r22786, r22787, r22788, r22789, r22790, r22791, r22792, r22793, r22794, r22795, r22796, r22797, r22798; void setup_mpfr_f_dm() { mpfr_set_default_prec(592); mpfr_init(r22744); mpfr_init(r22745); mpfr_init(r22746); mpfr_init_set_str(r22747, "2", 10, MPFR_RNDN); mpfr_init(r22748); mpfr_init(r22749); mpfr_init(r22750); mpfr_init(r22751); mpfr_init(r22752); mpfr_init(r22753); mpfr_init(r22754); mpfr_init(r22755); mpfr_init(r22756); mpfr_init(r22757); mpfr_init(r22758); mpfr_init(r22759); mpfr_init(r22760); mpfr_init(r22761); mpfr_init_set_str(r22762, "0", 10, MPFR_RNDN); mpfr_init(r22763); mpfr_init(r22764); mpfr_init(r22765); mpfr_init(r22766); mpfr_init_set_str(r22767, "1/2", 10, MPFR_RNDN); mpfr_init(r22768); mpfr_init_set_str(r22769, "5.362943541663143e-146", 10, MPFR_RNDN); mpfr_init(r22770); mpfr_init(r22771); mpfr_init(r22772); mpfr_init(r22773); mpfr_init(r22774); mpfr_init(r22775); mpfr_init(r22776); mpfr_init(r22777); mpfr_init(r22778); mpfr_init(r22779); mpfr_init(r22780); mpfr_init(r22781); mpfr_init(r22782); mpfr_init(r22783); mpfr_init_set_str(r22784, "3.610442400341209e+151", 10, MPFR_RNDN); mpfr_init(r22785); mpfr_init(r22786); mpfr_init(r22787); mpfr_init(r22788); mpfr_init(r22789); mpfr_init(r22790); mpfr_init(r22791); mpfr_init(r22792); mpfr_init(r22793); mpfr_init(r22794); mpfr_init(r22795); mpfr_init(r22796); mpfr_init(r22797); mpfr_init(r22798); } double f_dm(double n, double U, double t, double l, double Om, double U_) { mpfr_set_d(r22744, U, MPFR_RNDN); mpfr_set_d(r22745, n, MPFR_RNDN); mpfr_mul(r22746, r22744, r22745, MPFR_RNDN); ; mpfr_mul(r22748, r22746, r22747, MPFR_RNDN); mpfr_set_d(r22749, l, MPFR_RNDN); mpfr_set_d(r22750, Om, MPFR_RNDN); mpfr_div(r22751, r22749, r22750, MPFR_RNDN); mpfr_set_d(r22752, U_, MPFR_RNDN); mpfr_sub(r22753, r22752, r22744, MPFR_RNDN); mpfr_mul(r22754, r22751, r22745, MPFR_RNDN); mpfr_mul(r22755, r22753, r22754, MPFR_RNDN); mpfr_set_d(r22756, t, MPFR_RNDN); mpfr_mul(r22757, r22749, r22747, MPFR_RNDN); mpfr_mul(r22758, r22757, r22751, MPFR_RNDN); mpfr_sub(r22759, r22756, r22758, MPFR_RNDN); mpfr_fma(r22760, r22751, r22755, r22759, MPFR_RNDN); mpfr_mul(r22761, r22748, r22760, MPFR_RNDN); ; mpfr_mul(r22763, r22762, r22745, MPFR_RNDN); mpfr_mul(r22764, r22744, r22747, MPFR_RNDN); mpfr_mul(r22765, r22763, r22764, MPFR_RNDN); mpfr_add(r22766, r22761, r22765, MPFR_RNDN); ; mpfr_pow(r22768, r22766, r22767, MPFR_RNDN); ; mpfr_set_si(r22770, mpfr_cmp(r22768, r22769) <= 0, MPFR_RNDN); mpfr_mul(r22771, r22747, r22745, MPFR_RNDN); mpfr_mul(r22772, r22749, r22749, MPFR_RNDN); mpfr_div(r22773, r22772, r22750, MPFR_RNDN); mpfr_mul(r22774, r22747, r22773, MPFR_RNDN); mpfr_sub(r22775, r22756, r22774, MPFR_RNDN); mpfr_pow(r22776, r22751, r22747, MPFR_RNDN); mpfr_mul(r22777, r22745, r22776, MPFR_RNDN); mpfr_sub(r22778, r22744, r22752, MPFR_RNDN); mpfr_mul(r22779, r22777, r22778, MPFR_RNDN); mpfr_sub(r22780, r22775, r22779, MPFR_RNDN); mpfr_mul(r22781, r22744, r22780, MPFR_RNDN); mpfr_mul(r22782, r22771, r22781, MPFR_RNDN); mpfr_sqrt(r22783, r22782, MPFR_RNDN); ; mpfr_set_si(r22785, mpfr_cmp(r22768, r22784) <= 0, MPFR_RNDN); mpfr_cbrt(r22786, r22755, MPFR_RNDN); mpfr_mul(r22787, r22786, r22786, MPFR_RNDN); mpfr_mul(r22788, r22787, r22786, MPFR_RNDN); mpfr_fma(r22789, r22751, r22788, r22759, MPFR_RNDN); mpfr_mul(r22790, r22748, r22789, MPFR_RNDN); mpfr_add(r22791, r22790, r22765, MPFR_RNDN); mpfr_sqrt(r22792, r22791, MPFR_RNDN); mpfr_mul(r22793, r22771, r22744, MPFR_RNDN); mpfr_sqrt(r22794, r22793, MPFR_RNDN); mpfr_sqrt(r22795, r22780, MPFR_RNDN); mpfr_mul(r22796, r22794, r22795, MPFR_RNDN); if (mpfr_get_si(r22785, MPFR_RNDN)) { mpfr_set(r22797, r22792, MPFR_RNDN); } else { mpfr_set(r22797, r22796, MPFR_RNDN); }; if (mpfr_get_si(r22770, MPFR_RNDN)) { mpfr_set(r22798, r22783, MPFR_RNDN); } else { mpfr_set(r22798, r22797, MPFR_RNDN); }; return mpfr_get_d(r22798, MPFR_RNDN); }